A probability experiment consists of rolling a fair 16​-sided die. Find the probability of the event below of rolling a 5.

Answers

Answer 1
Lets first consider how many different possibilities there are: 16 sided die means it has 16 different numbers.

Only one of the numbers is 5, so the probability is 1 out of 16 also written as: 1/16. 

So the probabilty of rolling a 5 is 1/16.

Muchas luck on your math!
Answer 2

Answer:

The probability of the event below of rolling a 5 is 0.0625.

Step-by-step explanation:

Given is : A probability experiment consists of rolling a fair 16​-sided die. Find the probability of the event below of rolling a 5.

Total number of faces = 16

So, there is only one way for rolling a 5 on a die

And the probability of rolling a 5 on a die = [tex]\frac{1}{16}[/tex]

= 0.0625


Related Questions

Choose the point slope form of the equation below that represents the line passing through the point (-6,4) and (2,0)

Answers

m= (y2-y1) / (x2-x1)
m= (0-4) /  (2-(-6 ))
m= -4/8
m= -1/2

Answer: [tex]y=\dfrac{-1}{2}(x-2)[/tex]

Step-by-step explanation:

The equation of a line passing through points (a,b) and (c,d) is given by :-

[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]

Given : The points from which line is passing :  (-6,4) and (2,0)

Then , the equation of the line, in point slope  form, that passes through  (-6,4) and (2,0)will be :-

[tex](y-(0))=\dfrac{4-0}{-6-2}(x-2)\\\\\Rightarrow\y=\dfrac{4}{-8}(x-2)\\\\\Rightarrow\ y=\dfrac{-1}{2}(x-2)[/tex]

How to solve an expression with variables in the exponents?

Answers

Answer:

  use logarithms

Step-by-step explanation:

Taking the logarithm of an expression with a variable in the exponent makes the exponent become a coefficient of the logarithm of the base.

__

You will note that this approach works well enough for ...

  a^(x+3) = b^(x-6) . . . . . . . . . . . variables in the exponents

  (x+3)log(a) = (x-6)log(b) . . . . . a linear equation after taking logs

but doesn't do anything to help you solve ...

  x +3 = b^(x -6)

There is no algebraic way to solve equations that are a mix of polynomial and exponential functions.

__

Some functions have been defined to help in certain situations. For example, the "product log" function (or its inverse) can be used to solve a certain class of equations with variables in the exponent. However, these functions and their use are not normally studied in algebra courses.

In any event, I find a graphing calculator to be an extremely useful tool for solving exponential equations.

Final answer:

To solve an expression with variables in the exponents, you apply the rules of exponents.

Explanation:

When solving an expression with variables in the exponents, you need to apply the rules of exponents. Here are the key rules:

   

For example, (27x^3)(4x^2) can be simplified to 108x^5.

The equation for perimeter of square p=4s . what is the formula solved for p

Answers

it is already solved for p------   p=4s

Perform the operation given that a = {−3, −2, −1, 0, 1, 2, 3}, b = {−4, −2, 0, 2, 4}, and c = {0, 1, 2, 3, 4}. (enter your answers as a comma-separated list.) b ∪ (a ∩ c)

Answers

a ∩ c={0,1,2,3}

b ∪ (a ∩ c)={-4,-2,0,1,2,3,4}

Final answer:

The operation b \\u222a (a \\u2229 c) combines the unique elements of set b with the intersection of sets a and c, resulting in the set {-4, -2, 0, 1, 2, 3, 4}.

Explanation:

The student is asked to perform the operation b \\u222a (a \\u2229 c), given three sets a, b, and c. To do this, we need to first find the intersection of sets a and c, which is the set of elements that are both in a and in c. Then we find the union of set b with this intersection, which includes all the elements that are either in b or in the intersection of a and c.

Set a: {-3, -2, -1, 0, 1, 2, 3}

Set b: {-4, -2, 0, 2, 4}

Set c: {0, 1, 2, 3, 4}

First, find the intersection: a \\u2229 c = {0, 1, 2, 3}.

Next, find the union with set b: b \\u222a (a \\u2229 c) = {-4, -2, 0, 1, 2, 3, 4}.

The final result is the set {-4, -2, 0, 1, 2, 3, 4}, which contains all unique elements from both sets b and the intersection of a and c.

Simplify 2x^4y^5 * 3x^5y^7z^3

Answers

2x^4y^5(3x^5y^7z^3) = 6x^9 y^12 z³ is your answer

hope this helps

Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solution. The equation 0.10x + 0.15(50 – x) = 0.12(50) can be used to find the amount of 10% alcohol solution Bruce should use. How much of the 15% alcohol solution should Bruce use?

Answers

(50 - x) is the amount of the 15% Alcohol solution to use. If you solve for x first.
0.10x + 0.15(50 – x) = 0.12(50)
0.10x - 0.15x + 7.5 = 6
-0.05x + 7.5 = 6
7.5 - 6 = 0.05x
1.5 = 0.05x
1.5/0.05 = x
30 mL = x

Then the 15% solution: 50 - 30 = 20 mL

The amount of 15% alcohol Bruce should use ls 20 mL

Using the equation given in the question :

0.10x + 0.15(50 - x) = 0.12(50)

0.10x + 7.5 - 0.15x = 6

Collect like terms

-0.05 = 6 - 7.5

-0.05x = - 1.5

x = 1.5 / 0.05

x = 30 mL

The amount of 15% solution to be used is related can be calculated thus :

Amount of 15% solution = 50 - x

Amount of 15% solution = 50 - 30 = 20mL

Therefore, 20mL of 15% solution is required.

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Danielle's basic cell phone rate each month is $29.95. Add to that $5.95 for voice mail and $2.95 for text messaging. This past month Danielle spent an additional C dollars on long distance. Her total bill was $77.70. How much did Danielle spend on long distance?

Answers

The answer o the question is $38.85.

What is the area of a triangle with vertices at (−2, 1) , (2, 1) , and ​ (3, 4) ​ ?

Answers

Steps:

1. Let the three points be as follows:

A(-2,1), B(2,1), C(3,4)

2. Use the distance formula for points to find the lengths AB, BC, and AC. You will need to use the formula 3 times.

3. Use Heron's formula

A = sqrt{s(s-AB)(s-BC)(A-AC)}

Note s = (AB + BC + AC)/2

GET STARTED NOW.
check the picture below.

you can pretty much count the lengths off the grid.

recall that A = 1/2 bh.

I have another math question

Answers

Question 5 is C because increase means addition
i would say C because increased means dd s he/she said.

Mr. Miller owns two hotels and is ordering towels for the rooms. He ordered 27 hand towels and 48 bath towels for a bill of $540 for the first hotel. He ordered 50 hand towels and 24 bath towels for a bill of $416 for the other hotel. What is the cost of one hand towel and one bath towel?

Answers

This question is based on the concept of solving a two linear equation.

Thus, the cost of one bath towel is $9 and one hand towel is $4.

Given:

Number of  ordered of hand towels is 27 and bath towels is 48 and for a bill of $540 for the first hotel.

Number of  ordered of hand towels is 50 and bath towels is 24 and for a bill of $416 for the other hotel.

We need tom determined the cost of one hand towel and one bath towel.

According to the question:

Let the  hand towels be h  and bath towels be b.

Therefore, equation of first hotel is

27h + 48b = 540........(1)

Equation of second hotel is

50h + 24b = 416.........(2)

Now, solving both equation for h and b.

Equation (2) multiplying by -2.

-100 h -48 b = - 832..................(3)

Now, solve equation (1) and (3)

27h + 48b = 540  and -100h - 48b = - 832

⇒ -73 h = - 292

⇒ h = -292 / -73

⇒ h = 4

Therefore, the cost of 1 hand towel is $4.

Now, putting the value of h = 4 in equation (1).

⇒ 27(4) + 48b = 540

⇒ 108 + 48b = 540

⇒ 48b = 540 - 108

⇒ 48b = 432

⇒ b = 432/48

⇒ b = 9

Therefore, the cost of 1 bath towel is $9.

Thus, the cost of one bath towel is $9 and one hand towel is $4.

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An angle is 5 times the measure of its complement. find the measure of the larger angle

Answers

Answer:

75°

Step-by-step explanation:

The angle is our unknown, so we will call it x.  If x is the angle, then its complement is 90 - x (complementary angles add up to 90).  The word "is" means "equals", and "5 times" is multiplying the complementary by 5:

x = 5(90 - x) so

x = 450 - 5x

Combine like terms to get

6x = 450 so

x = 75

The other angle, the complement to that angle, is 90 - 75 = 15

The larger angle is 75°

Suppose a college student pays $700 for tuition fees. However, she also has to pay $400 for her textbooks (ouch!). What percent of her total education costs does she pay for her books? Write your answer to the nearest tenth of a percent, but in decimal form.

Answers

400+700=1100

400/1100=0.36363636...

The books cost about 36 percent of her education costs
Final answer:

The student spends approximately 40% of her total education costs on her books, represented as 0.4 in decimal form.

Explanation:

The student's total education costs are the sum of the tuition fees ($700) and the cost of her books ($400). This comes to a total of $700 + $400 = $1100. The percent of the total education cost that is spent on books is then given by the cost of the books divided by the total cost, or $400 / $1100. When expressed as a decimal, this works out to be approximately 0.36 or 36%, but since we want to the nearest tenth of a percent in decimal form, it becomes 0.4 or 40% to the nearest tenth. Therefore, the student spends 40% of her total education costs on her books.

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4[(6 - 1) + 3(5 - 2)] 44 46 56

Answers

4[(6 - 1) + 3(5 - 2)]

4(5 + 3 × (5 - 2)]

4(5 + 3 × 3)

4(5 + 9)

4 × 14

56

hope that helps, God bless!

The numerical expression 4[(6 - 1) + 3(5 - 2)] evaluates step-by-step following the order of operations. Operations within the parentheses are performed first, followed by multiplication, resulting in a final answer of 56

The student's question involves evaluating a numerical expression, which is a concept in mathematics. We have the expression 4[(6 - 1) + 3(5 - 2)] and want to calculate its value step by step following the order of operations:

First, perform the operations inside the parentheses: (6 - 1) = 5 and (5 - 2) = 3.Next, multiply by 3 within the parentheses: 3(5 - 2) becomes 3 * 3 = 9.Now, add the results within the square brackets: 5 + 9 = 14.Finally, multiply the result by 4: 4 * 14 = 56.

Hence, the correct answer to the expression is 56

On Monday, 490 students went on a trip to the zoo. All 8 buses were filled and 10 students had to travel in cars. How many students were in each bus?

Answers

60 kids were on each bus. I hope this helps!
The answer is 60 because 490-10=480 and 480/8=60. I hope this helps! :-) 

if a line is tangent to a circle,then it is perpendicular to the radius drawn to that point of tangent.

Answers

Attached image is the detail answer to your question.

1. The price of a set of luggage was reduced by $35 for a pre-holiday sale. After the holiday, the set's price tag was marked with an additional discount of 35% of the price during the pre-holiday sale. Let P represent the price of the set of luggage before the sale Which of the following gives an expression representing the price of the set of after the holiday and the final price of the set, if it's original price P was $200?
a) P-0.35*(P-35); $107.25
b) 0.65*(P)-35; $107.25
c) 0.65*(P-35; $107.25
d) 0.65p-22.75; $95.00

Answers

c) 0.65*(P-35); $107.25

This can be easily found by elimination and plugging in.
We know it can't be "d" because that's the only answer with $95.00. It can't be "a" either because it starts with (P-0.35), unlike the other answers. Now you're left with "b" and "c".

We know that the original price is 200, which we plug in for "P".
b) 0.65*(P)-35
0.65*(200)-35
130-35 = 95
This doesn't equal $107.25, so it can't be the answer.

c) 0.65*(P-35)
0.65*(200-35)
0.65*(165) = $107.25
Therefore the answer is C.

You buy 8 gallons of gasoline at p dollars per gallon and pay $23.20. Write an equation to find the price of one gallon of gasoline. Then find the price of one gallon of gasoline.

Answers

The equation is
8p=23.2
Where p is the price per gallon

To find the price per gallon, you just divide both sides by 8
P=23.2÷8
P=2.9 per gallon

Hope it helps!

Answer:

The price of 1 gallon of gasoline is $2.90.

Step-by-step explanation:

You buy 8 gallons of gasoline at p dollars per gallon and pay $23.20.

We get the expression:

[tex]8p=23.20[/tex]

We can find one gallon as: p=[tex]\frac{23.20}{8}[/tex]

=> p = $2.90

Hence, the price of 1 gallon of gasoline is $2.90.

6b^2-13+6=0 Quadratic equations by factoring

Answers

did u mean to write
6b² -13b +6=0
6b² -9b-4b +6 = 0
3b(2b-3) - 2(2b-3)=0
(3b-2)(2b-3)=0
b= 2/3 or 3/2

hope this helps

20 is equal to 5 less than twice a number.

Answers

If we have a number represented by n, we have 20 is equal to, so 20=something. That something is "5 less than twice a number". 5 less than something means something-5, and something-5=20. Since 5 is less than twice a number, and twice a number is n+n=2n, we have 2n-5=20
Actually solving the problem, we can start by adding 5 to both sides, resulting in 2n=25. Next, we can divide both sides by 2 to get n=12.5

My sister's 14 years old my brother said that his age minus 12 is equal to my sister say how old is my brother

Answers

your brother should be twenty six (26) 

a piggy bank contains $2.40 in nickels and dimes. if there are 33 coins in all, how many nickels are there

Answers

There are 18 nickels and 15 dimes.

what is the simplified form of the following expression 7m2+6.5n-4n+2.5m2-n

Answers

Add all like terms... 7 + 2.5  m^2
                               6.5 - 4 - 1  n

Answer:

The simplified form of the provided expression is [tex]9.5m^2+1.5n[/tex].

Step-by-step explanation:

Consider the provided expression.

[tex]7m^2+6.5n-4n+2.5m^2-n[/tex]

Arrange the like terms together.

[tex]7m^2+2.5m^2+6.5n-4n-n[/tex]

Add and subtract the like terms as shown below:

[tex]9.5m^2+1.5n[/tex]

Thus, the simplified form of the provided expression is [tex]9.5m^2+1.5n[/tex].

f(x)=3^x and x=-5 help

A) 1/729

B) -15

C) 1/243

D) -125

Answers

The answer is c)1/243

Three friends were born in consecutive years. The some of their birth years is 5982.find the year in which each person was born

Answers

a+b+c=5982
find the average of the three friends 
5982/3=1994
add and subtract one to find the average 
1994+1=1995
1994-1=1993
add all the years together to check 
1993+1994+1995=5983

There are 11 books on a shelf. 5 of these books are new. (a) What is the ratio of new books to used books? (b) What is the ratio of used books to all books?

Answers

a) 
Since 5 of the books are new, that means that the other books are used. So, there are 11-5=6. The ratio would be 5:6.

b) 
The ratio is 6:11. You get the 6 from the above problem.

Hope this helps!

a) The ratio of new books to used books 5:6.

b) The ratio of used books to all books is 6:11.

What is the ratio?

The ratio is defined as the representation of one number with respect to the other number or one number is how many times the other number.

The ratio will be calculated as follows:-

a) Since 5 of the books are new, that means that the other books are used. So, there are 11-5=6. The ratio would be 5:6.

b) We know that the number of used books is 6. The ratio is 6:11.

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After 5 years, Rachel’s amount in her savings account is $7446.52. Her account earned interest at 4.32% APR and was compounded daily. How much did she invest?

Answers

[tex]\bf \qquad \textit{Continuously Compounding Earned Amount}\\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\to &7446.52\\ P=\textit{original amount deposited}\\ r=rate\to 4.32\%\to \frac{4.32}{100}\to &0.0432\\ t=years\to &5 \end{cases} \\\\\\ 7446.52=Pe^{0.0432\cdot 5}\implies \cfrac{7446.52}{e^{0.0432\cdot 5}}=P\implies 5999.92404\approx P[/tex]

A plane is flying at an altitude of 23,760 feet. Which expression can be used to find the altitude in miles?

Answers

The expression would be 23,760 ( the altitude in feet) divided by 5280 because that's how many feet their is in a mile. Example: 23,760/5280= 4.5

The altitude of the plane in miles will be 4.5144 miles.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a plane is flying at an altitude of 23,760 feet. The height of the plane in miles will be calculated as,

Height = 23760 feet

1 feet = 0.00019 miles

Height = 23760 x 0.00019 miles

Height = 4.5144

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using multiplication property of equality solve x/2=6

Answers

[tex] \frac{x}{2} [/tex] = 6
[tex] \frac{x}{2} [/tex] (2) = 6(2)
x=12

Answer:

x=12

Step-by-step explanation:

↓↓↓↓↓↓↓↓↓↓↓↓

Multiplication property of equality is multiply both sides of an equation by the same number does not change the equation.

[tex]\frac{x}{2}=6[/tex]

multiply two both sides

[tex]\frac{2x}{2}=6*2[/tex]

simplify

[tex]6*2=12[/tex]

[tex]12/2=6[/tex]

[tex]12/6=2[/tex]

[tex]2*6=12[/tex]

[tex]x=12[/tex]

Hope this helps!

1 under typical conditions, 1 feet of snow will melt to 2 inches of water. 2 1 to how many inches of water will 2 feet of snow melt?

Answers

can you be more specific?

What is the slope of line represents by the equation y=-1/2x+1/4

Answers

The slope is the number before the variable x, so the slope is -1/2.
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